JEE Main 2019MathematicsDifferential EquationsLinear Differential EquationsmediumMCQ

JEE Main 2019Differential Equations Question with Solution

From: JEE Main 2019 (Online) 11th January Evening Slot

Question

The solution of the differential equation,

= (x – y)2, when y(1) = 1, is :

Choose an option

Show full solutionCorrect option: D
Correct answer
D loge = 2(x 1)

Step-by-step explanation

x y = t

 

  1 = t2    =

  

   given y(1) = 1

  

   = 2(x 1)

   = 2(x 1)

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About this question

This is a previous-year question from JEE Main 2019, covering the Differential Equations chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.